Can you complete this jigsaw of the multiplication square?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
If you have only four weights, where could you place them in order
to balance this equaliser?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Here is a chance to play a version of the classic Countdown Game.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Can you hang weights in the right place to make the equaliser
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Use the number weights to find different ways of balancing the equaliser.
An odd version of tic tac toe
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Match the halves.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
Can you complete this jigsaw of the 100 square?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
What happens when you try and fit the triomino pieces into these
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Can you cover the camel with these pieces?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Move just three of the circles so that the triangle faces in the
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Twenty four games for the run-up to Christmas.